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Finding the Fourth Proportional to 243,953.40, 365,346.90 and 197,297.40

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Solution

The fourth proportional to 243,953.40, 365,346.90 and 197,297.40 is: 295,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,953.40 : 365,346.90 = 197,297.40 : x
  2. Step 2: Convert to fraction form
    243,953.40/365,346.90 = 197,297.40/x
  3. Step 3: Cross multiply
    243,953.40x = 365,346.90 × 197,297.40
  4. Step 4: Simplify right side
    243,953.40x = 72,081,993,468.06
  5. Step 5: Solve for x
    x = 72,081,993,468.06/243,953.40
  6. Step 6: Final answer
    x = 295,474.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.